A new meshless method of solving 2D fractional diffusion-wave equations

被引：7

作者：

Du, Hong ^{[1
]}

Chen, Zhong ^{[2
]}

机构：

[1] GuangDong Ocean Univ, Coll Math & Comp Sci, Zhanjiang 524000, Guangdong, Peoples R China

[2] Harbin Inst Technol Weihai, Dept Math, Shandong 264209, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2022年 / 130卷

关键词：

Meshless method; Diffusion-wave equation; The minimum residual solution; REPRODUCING KERNEL;

D O I：

10.1016/j.aml.2022.108004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C-2(Omega). Based on the theories, we propose the block meshless method and use it to solve 2D variable-order FDWE on arbitrary domain. Numerical experiments further demonstrate advantages of the method. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

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